Compact cardinals and eight values in cichoń's diagram

Anda-Ramona Tanasie; Jakob Kellner; Fabio Elio Tonti

doi:10.1017/jsl.2018.17

Compact cardinals and eight values in cichoń's diagram

Anda-Ramona Tanasie
, Jakob Kellner
, Fabio Elio Tonti

Institute of Computer Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

Assuming three strongly compact cardinals, we show two consistent orderings of eight different cardinal characteristics in Cichon's Diagram by means of forcing. This paper introduces Boolean Ultrapowers of a forcing poset and their applications to set theory for proving consistency results

Original language	English
Pages (from-to)	790
Number of pages	803
Journal	Journal of Symbolic Logic
Volume	83
Issue number	2
DOIs	https://doi.org/10.1017/jsl.2018.17
Publication status	Published - 2018

Keywords

Forcing
Mathematical logic
Boolean Ultrapowers
Cichon's Diagram
large continuum
large cardinals
set theory of the reals

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10.1017/jsl.2018.17

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title = "Compact cardinals and eight values in cicho{\'n}'s diagram",

abstract = "Assuming three strongly compact cardinals, we show two consistent orderings of eight different cardinal characteristics in Cichon's Diagram by means of forcing. This paper introduces Boolean Ultrapowers of a forcing poset and their applications to set theory for proving consistency results ",

keywords = "Forcing, Mathematical logic, Boolean Ultrapowers, Cichon's Diagram, large continuum, large cardinals, set theory of the reals",

author = "Anda-Ramona Tanasie and Jakob Kellner and Tonti, \{Fabio Elio\}",

note = "Publisher Copyright: {\textcopyright} The Association for Symbolic Logic 2018.",

year = "2018",

doi = "10.1017/jsl.2018.17",

language = "English",

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journal = "Journal of Symbolic Logic",

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T1 - Compact cardinals and eight values in cichoń's diagram

AU - Tanasie, Anda-Ramona

AU - Kellner, Jakob

AU - Tonti, Fabio Elio

N1 - Publisher Copyright: © The Association for Symbolic Logic 2018.

PY - 2018

Y1 - 2018

N2 - Assuming three strongly compact cardinals, we show two consistent orderings of eight different cardinal characteristics in Cichon's Diagram by means of forcing. This paper introduces Boolean Ultrapowers of a forcing poset and their applications to set theory for proving consistency results

AB - Assuming three strongly compact cardinals, we show two consistent orderings of eight different cardinal characteristics in Cichon's Diagram by means of forcing. This paper introduces Boolean Ultrapowers of a forcing poset and their applications to set theory for proving consistency results

KW - Forcing

KW - Mathematical logic

KW - Boolean Ultrapowers

KW - Cichon's Diagram

KW - large continuum

KW - large cardinals

KW - set theory of the reals

UR - https://www.scopus.com/pages/publications/85051053022

U2 - 10.1017/jsl.2018.17

DO - 10.1017/jsl.2018.17

M3 - Article

SN - 0022-4812

VL - 83

SP - 790

JO - Journal of Symbolic Logic

JF - Journal of Symbolic Logic

IS - 2

ER -

Compact cardinals and eight values in cichoń's diagram

Abstract

Keywords

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